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DRA Systems: OR-Objects 1.2.4: Class  FDistribution
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<H2>
<FONT SIZE="-1">
drasys.or.prob</FONT>
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Class  FDistribution</H2>
<PRE>
java.lang.Object
  |
  +--<A HREF="../../../drasys/or/prob/Distribution.html">drasys.or.prob.Distribution</A>
        |
        +--<A HREF="../../../drasys/or/prob/ContinuousDistribution.html">drasys.or.prob.ContinuousDistribution</A>
              |
              +--<B>drasys.or.prob.FDistribution</B>
</PRE>
<HR>
<DL>
<DT>public class <B>FDistribution</B><DT>extends <A HREF="../../../drasys/or/prob/ContinuousDistribution.html">ContinuousDistribution</A><DT>implements <A HREF="../../../drasys/or/nonlinear/FunctionI.html">FunctionI</A></DL>

<P>
An implementation of Snedecor's F-distribution.

<P><FONT COLOR="#CC0000"><FONT SIZE=+1>References:</FONT></FONT><FONT SIZE=+1></FONT><P><B><A NAME="0201896842"HREF="http://www.amazon.com/exec/obidos/ISBN=0201896842/opsresearchcomA/" TARGET="amazon.com">The Art of Computer Programming: Seminumerical Algorithms (Vol 2, 3rd Ed)</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;Donald Ervin Knuth; Hardcover<BR><B><A NAME="0521431085"HREF="http://www.amazon.com/exec/obidos/ISBN=0521431085/opsresearchcomA/" TARGET="amazon.com">Numerical Recipes in C : The Art of Scientific Computing</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;William H. Press, et al / Hardcover / Published 1993<BR><B><A NAME="020111366X"HREF="http://www.amazon.com/exec/obidos/ISBN=020111366X/opsresearchcomA/" TARGET="amazon.com">Probability and Statistics</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;Morris H. Degroot / Hardcover / Published 1986<BR><B><A NAME="0534209165"HREF="http://www.amazon.com/exec/obidos/ISBN=0534209165/opsresearchcomA/" TARGET="amazon.com">Mathematical Statistics With Applications</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;Dennis D. Wackerly, et al / Hardcover / Published 1996<BR>
<P>
<DL>
<DT><B>See Also: </B><DD><A HREF="../../../serialized-form.html#drasys.or.prob.FDistribution">Serialized Form</A></DL>
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<P>
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<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#FDistribution(double, double)">FDistribution</A></B>(double&nbsp;degreesOfFreedom1,
              double&nbsp;degreesOfFreedom2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Create F-distribution with explicit degrees of freedom.</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#cdf(double)">cdf</A></B>(double&nbsp;x)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Computes the cdf using the incomplete beta function.</TD>
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<CODE>&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#equals(java.lang.Object)">equals</A></B>(java.lang.Object&nbsp;o)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#function(double)">function</A></B>(double&nbsp;x)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#inverseCdf(double)">inverseCdf</A></B>(double&nbsp;probability)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Computes the inverse cdf from the cdf numerically.</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#mean()">mean</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the mean of the distribution.</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#pdf(double)">pdf</A></B>(double&nbsp;x)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the value of the probability distribution function at x;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#probability(double, double)">probability</A></B>(double&nbsp;x1,
            double&nbsp;x2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Computes the the probability that x will be between x1 and x2 by numerical integration using the pdf.</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#std()">std</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the standard deviation of the distribution.</TD>
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<CODE>&nbsp;java.lang.String</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#toString()">toString</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../drasys/or/prob/FDistribution.html#variance()">variance</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the variance of the distribution.</TD>
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</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_drasys.or.prob.ContinuousDistribution"><!-- --></A>
<TABLE BORDER="1" CELLPADDING="3" CELLSPACING="0" WIDTH="100%">
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<TD><B>Methods inherited from class drasys.or.prob.<A HREF="../../../drasys/or/prob/ContinuousDistribution.html">ContinuousDistribution</A></B></TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../drasys/or/prob/ContinuousDistribution.html#getRandomScaler()">getRandomScaler</A>, 
<A HREF="../../../drasys/or/prob/ContinuousDistribution.html#probability(double)">probability</A></CODE></TD>
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&nbsp;<A NAME="methods_inherited_from_class_drasys.or.prob.Distribution"><!-- --></A>
<TABLE BORDER="1" CELLPADDING="3" CELLSPACING="0" WIDTH="100%">
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<TD><B>Methods inherited from class drasys.or.prob.<A HREF="../../../drasys/or/prob/Distribution.html">Distribution</A></B></TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../drasys/or/prob/Distribution.html#getRandomMatrix(int, int)">getRandomMatrix</A>, 
<A HREF="../../../drasys/or/prob/Distribution.html#getRandomNumberGenerator()">getRandomNumberGenerator</A>, 
<A HREF="../../../drasys/or/prob/Distribution.html#getRandomVector(int)">getRandomVector</A>, 
<A HREF="../../../drasys/or/prob/Distribution.html#setElements(drasys.or.matrix.MatrixI)">setElements</A>, 
<A HREF="../../../drasys/or/prob/Distribution.html#setElements(drasys.or.matrix.VectorI)">setElements</A>, 
<A HREF="../../../drasys/or/prob/Distribution.html#setRandomNumberGenerator(drasys.or.prob.RandomI)">setRandomNumberGenerator</A>, 
<A HREF="../../../drasys/or/prob/Distribution.html#setSeed(long)">setSeed</A></CODE></TD>
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<TD><B>Methods inherited from class java.lang.Object</B></TD>
</TR>
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<TD><CODE>clone, 
finalize, 
getClass, 
hashCode, 
notify, 
notifyAll, 
wait, 
wait, 
wait</CODE></TD>
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<A NAME="FDistribution(double, double)"><!-- --></A><H3>
FDistribution</H3>
<PRE>
public <B>FDistribution</B>(double&nbsp;degreesOfFreedom1,
                     double&nbsp;degreesOfFreedom2)</PRE>
<DL>
<DD>Create F-distribution with explicit degrees of freedom.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../drasys/or/InvalidArgumentError.html">InvalidArgumentError</A> - if degreesOfFreedom < 1.0.</DL>
</DD>
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<A NAME="function(double)"><!-- --></A><H3>
function</H3>
<PRE>
public double <B>function</B>(double&nbsp;x)</PRE>
<DL>
<DD><DL>
<DT><B>Specified by: </B><DD><A HREF="../../../drasys/or/nonlinear/FunctionI.html#function(double)">function</A> in interface <A HREF="../../../drasys/or/nonlinear/FunctionI.html">FunctionI</A></DL>
</DD>
</DL>
<HR>

<A NAME="cdf(double)"><!-- --></A><H3>
cdf</H3>
<PRE>
public double <B>cdf</B>(double&nbsp;x)</PRE>
<DL>
<DD>Computes the cdf using the incomplete beta function.<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="inverseCdf(double)"><!-- --></A><H3>
inverseCdf</H3>
<PRE>
public double <B>inverseCdf</B>(double&nbsp;probability)</PRE>
<DL>
<DD>Computes the inverse cdf from the cdf numerically.<DD><DL>
<DT><B>Overrides:</B><DD><A HREF="../../../drasys/or/prob/ContinuousDistribution.html#inverseCdf(double)">inverseCdf</A> in class <A HREF="../../../drasys/or/prob/ContinuousDistribution.html">ContinuousDistribution</A></DL>
</DD>
<DD><DL>
<DT><B>Throws:</B><DD>StatError - if the solution fails.</DL>
</DD>
</DL>
<HR>

<A NAME="probability(double, double)"><!-- --></A><H3>
probability</H3>
<PRE>
public double <B>probability</B>(double&nbsp;x1,
                          double&nbsp;x2)</PRE>
<DL>
<DD>Computes the the probability that x will be between x1 and x2 by numerical integration using the pdf.<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../drasys/or/prob/ProbError.html">ProbError</A> - if the integration fails.<DD><A HREF="../../../drasys/or/InvalidArgumentError.html">InvalidArgumentError</A> - if x2 < x1.</DL>
</DD>
</DL>
<HR>

<A NAME="pdf(double)"><!-- --></A><H3>
pdf</H3>
<PRE>
public double <B>pdf</B>(double&nbsp;x)</PRE>
<DL>
<DD>Returns the value of the probability distribution function at x;<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="mean()"><!-- --></A><H3>
mean</H3>
<PRE>
public double <B>mean</B>()</PRE>
<DL>
<DD>Returns the mean of the distribution.<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="variance()"><!-- --></A><H3>
variance</H3>
<PRE>
public double <B>variance</B>()</PRE>
<DL>
<DD>Returns the variance of the distribution.<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../drasys/or/prob/ProbError.html">ProbError</A> - if degreesOfFreedom2 <= 4.0.</DL>
</DD>
</DL>
<HR>

<A NAME="std()"><!-- --></A><H3>
std</H3>
<PRE>
public double <B>std</B>()</PRE>
<DL>
<DD>Returns the standard deviation of the distribution.<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../drasys/or/prob/ProbError.html">ProbError</A> - if degreesOfFreedom2 <= 4.0.</DL>
</DD>
</DL>
<HR>

<A NAME="equals(java.lang.Object)"><!-- --></A><H3>
equals</H3>
<PRE>
public boolean <B>equals</B>(java.lang.Object&nbsp;o)</PRE>
<DL>
<DD><DL>
<DT><B>Overrides:</B><DD>equals in class java.lang.Object</DL>
</DD>
</DL>
<HR>

<A NAME="toString()"><!-- --></A><H3>
toString</H3>
<PRE>
public java.lang.String <B>toString</B>()</PRE>
<DL>
<DD><DL>
<DT><B>Overrides:</B><DD>toString in class java.lang.Object</DL>
</DD>
</DL>
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